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Answer :
Final answer:
The x-component of the vector can be calculated as 17cm * cos(120°). For the second part of the question, the horizontal component of Ana’s displacement is 2.90 km * sin(39.6°). Both solutions use trigonometric functions to break down displacement or vectors into their components.
Explanation:
To find the horizontal component, you will need to use trigonometry. The vector has an angle of 120° with the positive x-axis. Using the cosine function, which refers to the adjacent side in a right triangle, we can calculate the x-component or the horizontal component.
- Magnitude of the Vector: 17cm
- Angle with the x-axis: 120°
The component of the vector in the direction of the x-axis is given by: Magnitude * cos (angle)
So, the x-component of the vector would be 17cm * cos(120°). This would be your answer for the physics problem.
Now, let's move on to the second question. It appears an individual named Ana has moved 2.90 km in a direction 39.6° west of south. In this context, note that moving west of south means that she is moving more towards the west direction. Therefore, we are looking to find the east-west displacement, or in geographic terms, the longitudinal displacement.
You'll use the sine function, as we are looking for the component opposite to the given angle. So, the horizontal component of her displacement would be 2.90 km * sin(39.6°), which would be your answer for the second question.
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